Explanation Procedure used: To make a table of solutions for an equation or function: 1. Solve the equation for y and write the equation in function notation, if desired. 2. Select appropriate values for the independent variable. 3. Perform the calculations associated with the function for each selected value of the independent variable. 4. Write the results. To graph a linear equation or function using a table of solutions: 1. Prepare a table of solutions by evaluating the equation or function using different values (at least three) in the domain of the independent variable. 2. Plot the points from the table of solutions on a rectangular coordinate system . 3. Connect the points with a straight line. Extend the graph beyond the three points and place an arrow on each and as appropriate to indicate that the line extends indefinitely. Calculation: Given equation is y = − 5 x + 1 . Rewrite y as f ( x ) in the equation y = − 5 x + 1 . y = − 5 x + 1 f ( x ) = − 5 x + 1 The function notation of the equation y = − 5 x + 1 is f ( x ) = − 5 x + 1 . Substitute x = − 1 , 0 , 1 in the function f ( x ) = − 5 x + 1 and tabulate the values as follows

Mylab Math With Pearson Etext -- Standalone Access Card -- For College Mathematics For Trades And Technologies (10th Edition) (my Math Lab)

10th Edition

ISBN: 9780134880402

Author: Hobbs, Margie; Cleaves, Cheryl

Publisher: PEARSON

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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 9, Problem 20RE

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To sketch: The graph of the function y=−5x+1 by representing the solutions of the equations in a table.

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Chapter 9, Problem 19RE

Chapter 9, Problem 21RE

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Chapter 9 Solutions

Mylab Math With Pearson Etext -- Standalone Access Card -- For College Mathematics For Trades And Technologies (10th Edition) (my Math Lab)

Ch. 9.1 - Find y if x = 4 in the equation 3x + 2y = 6. Ch. 9.1 - Locate the points in Fig. 9–12 by giving the...Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E

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The graph of the function y = − 5 x + 1 by representing the solutions of the equations in a table.

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